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Finding the Third Proportional to 145,019.25 and 319,470.75

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Solution

The third proportional to 145,019.25 and 319,470.75 is: 703,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,019.25 : 319,470.75 = 319,470.75 : x
  2. Step 2: Convert to fraction form
    145,019.25/319,470.75 = 319,470.75/x
  3. Step 3: Cross multiply
    145,019.25x = 319,470.75 × 319,470.75
  4. Step 4: Simplify right side
    145,019.25x = 102,061,560,105.56
  5. Step 5: Solve for x
    x = 102,061,560,105.56/145,019.25
  6. Step 6: Final answer
    x = 703,779.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.